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A certain company has 255 employees. If an employee is to be selected [#permalink]

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19 Jun 2016, 05:17

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A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?

(1) 130 of the company's employees do not have a college degree(2) 125 of the company's employees are men

Re: A certain company has 255 employees. If an employee is to be selected [#permalink]

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19 Jun 2016, 05:20

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unuk50 wrote:

A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?

i) 130 of the company's employees do not have a college degreeii) 125 of the company's employees are men

Ans: Ai) if 130 of 255 employees are those without a college degree => <50% have a college degree => Sufficientii) 125 of 255 are male => 130 are female => either possibility exists: possibility that all 130 have a college degree, or possibility that <128 have a college degree. Insufficient.

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A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?

i) 130 of the company's employees do not have a college degreeii) 125 of the company's employees are men

Total employees = 255...No other info... is the the probability less than 1/2 that the employee selected will be a woman who has a college degree? OR is the # of women with college degree \(< \frac{255}{2} .... < 128\)

lets see the statements-

i) 130 of the company's employees do not have a college degreeLets look at the MAX probability - All the college degree holders are women...so Women with college degree = 255-130 = 125 < 128..So even in the MAX case possible, ans will be YESSuff..

ii) 125 of the company's employees are menso the remaining 255-125 = 130 are women..MAX probability = all 130 are with college degree...so 130 > 128..... ans is NOMIN prob = None of these 130 are college holders..0 < 128... ans is YES.Different answers possibleInsuff

A company has 255 employees. If one employee is randomly selected, is [#permalink]

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09 Jul 2016, 05:08

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Question stem gives us the number of total employees = 255 and asks us -Is the the probability less than 1/2 that the employee selected will be a woman having a degree?So we have to find out is the number of women who have a college degree is half of the total employee?Mathematically speaking --->Number of women \(\frac{255 X 1}{2} <127.5\) ??? (This is the crux of the argument) Since women cannot be half, the numerical figure has to be <128The other way to see this problem is \(P(Women with degree) =\frac{(Number of women with degree)}{Total employee} <\frac{1}{2}\)

Statement 1)130 of the company's employees do not have a college degreeIt means that 125 people have college degree (These include both men and women)Now lets look at the maximum probability that all women have college degree.Women with college degree = 255-130 = 125 (Meaning All women that have college degree are 125 in number)Notice how even if ALL the women have college degree, it is still not \(\frac{1}{2}\)So the probability of being a woman and having a college degree cannot ever be \(\frac{1}{2}\) because \(\frac{125}{255}\)is always less than\(\frac{1}{2}\)Statement 1 gives a definite NO

SO SUFFICIENT (Now the answer can be only A or D)

Statement 2) 125 of the company's employees are men, Meaning (255-125) = 130 are women.Lets work with the assumption that all 130 are with college degreeIs 130 < 128 (Remember we got this from Stimulus) ---> No It can also be interpreted as :- \(Is \frac{130}{255} <\frac{1}{2}\)The answer is still NO

Now lets again work with the assumption that NONE of 130 are with college degree.MIN prob = None of these 130 are college holders..0 < 128----> YesIt can also be interpreted as :-\(Is \frac{0}{255}<\frac{1}{2}\)The answer in this case is YES

Statement 2 is not giving definite answers. Sometimes it is YES and sometimes it is NOTherefore not sufficient (Since B is not sufficient then the combined Option D also goes to garbage bin and only Option A remains)

ANSWER IS A

Bunuel wrote:

A company has 255 employees. If one employee is randomly selected, is the probability that the employee a woman and has a college degree less than 1/2?

(1) 135 employees do not have a college degree. (2) 125 are men.

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Last edited by LogicGuru1 on 09 Jul 2016, 06:48, edited 1 time in total.

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A company has 255 employees. If one employee is randomly selected, is [#permalink]

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10 Jul 2016, 20:58

Understanding the questionIf you look at the 4 possible options that the question stem allows, you will see a Venn Diagram with the following subsets:- WD: Women Degree- WN: Women No Degree- MD: Men Degree- MN: Men No Degree

The question stem asks whether WD < 0.5, or in other words whether WD < 127.5 (or WD < 128, since humans have to be in integers)

Statement 1It states that there D = 120 and N = 135. For that reason WD (a subset of D) MUST BE less than 120. Sufficient

Statement 2It states that M = 125 and W = 130. However, WD (a subset of W) could or could not be less than 128. Not Sufficient.

OA = A
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Re: A company has 255 employees. If one employee is randomly selected, is [#permalink]

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11 Jul 2016, 00:08

It will be awesome if you can make a venn diagram and attach it with your explanation.Figures and diagrams always help in understanding the answer much more easily and also the retention of such explanation is higher.

minwoswoh wrote:

Understanding the questionIf you look at the 4 possible options that the question stem allows, you will see a Venn Diagram with the following subsets:- WD: Women Degree- WN: Women No Degree- MD: Men Degree- MN: Men No Degree

The question stem asks whether WD < 0.5, or in other words whether WD < 127.5 (or WD < 128, since humans have to be in integers)

Statement 1It states that there D = 120 and N = 135. For that reason WD (a subset of D) MUST BE less than 120. Sufficient

Statement 2It states that M = 125 and W = 130. However, WD (a subset of W) could or could not be less than 128. Not Sufficient.

OA = A

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

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Re: A certain company has 255 employees. If an employee is to be selected [#permalink]

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27 Aug 2016, 07:09

shonakshi wrote:

Not getting this one

have a look at my post just 3 -4 post earlier to yours ... you will get what the question is asking and how to solve it
_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Re: A certain company has 255 employees. If an employee is to be selected [#permalink]

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22 Oct 2016, 21:50

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unuk50 wrote:

A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?

(1) 130 of the company's employees do not have a college degree(2) 125 of the company's employees are men

Given no of employee= 255question asked P(W)< 1/2 here P (W) indicated probability of employee selected will be a woman who has a college degreeStatement 1

130 employees do not have a college degree. it means 125 employees have a college degree.hence total men + women who have a college degree = 125therefor probability of P(M+W)= 125/255 and is less than 1/2.so consider the extreme. let us assume all 125 are women even then P(w)< 1/2.Hence from statement we can give answer P(w)<1/2

Statement 2no of men in a group =125but from this we cannot tell about no of women who have college degree.So this is insufficient.HenceA is our answer_________________

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